A) x/3 + 1/5 = 3/4
B) 1 - 1/3 ÷ x/5 =1/6
C) 1/5÷1/6×17=1-x/3
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\(P=\left(1+\frac{\sqrt{a}-1}{a-\sqrt{a}}\right):\left(\frac{a+\sqrt{a}}{a-1}+\frac{\sqrt{a}}{a-\sqrt{a}}\right)\left(a>0;a\ne1\right)\)
\(P=\frac{a-\sqrt{a}+\sqrt{a}-1}{\sqrt{a}\left(\sqrt{a}-1\right)}:\left[\frac{\sqrt{a}\left(\sqrt{a}+1\right)}{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}+\frac{\sqrt{a}}{\sqrt{a}\left(\sqrt{a}-1\right)}\right]\)
\(P=\frac{a-1}{\sqrt{a}\left(\sqrt{a}-1\right)}:\left(\frac{\sqrt{a}}{\sqrt{a}-1}+\frac{1}{\sqrt{a}-1}\right)\)
\(P=\frac{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}:\left(\frac{\sqrt{a}+1}{\sqrt{a}-1}\right)\)
\(P=\frac{\sqrt{a}+1}{\sqrt{a}}:\frac{\sqrt{a}+1}{\sqrt{a}-1}\)
\(P=\frac{\sqrt{a}+1}{\sqrt{a}}.\frac{\sqrt{a}-1}{\sqrt{a}+1}=\frac{\sqrt{a}-1}{\sqrt{a}}\)
Vậy .............
_Minh ngụy_
\(P=\left(1+\frac{\sqrt{a}-1}{a-\sqrt{a}}\right):\left(\frac{a+\sqrt{a}}{a-1}+\frac{\sqrt{a}}{a-\sqrt{a}}\right)\text{ (ĐKXĐ: }x\ne1;x\ne0\text{ )}\)
\(P=\left(\frac{a-\sqrt{a}}{a-\sqrt{a}}+\frac{\sqrt{a}-1}{a-\sqrt{a}}\right):\left(\frac{\left(a+\sqrt{a}\right)\left(a-\sqrt{a}\right)}{\left(a-1\right)\left(a-\sqrt{a}\right)}+\frac{\sqrt{a}\left(a-1\right)}{\left(a-\sqrt{a}\right)\left(a-1\right)}\right)\)
\(P=\frac{a-\sqrt{a}+\sqrt{a}-1}{a-\sqrt{a}}:\left(\frac{a^2-a}{\left(a-1\right)\left(a-\sqrt{a}\right)}+\frac{\sqrt{a}\left(a-1\right)}{\left(a-\sqrt{a}\right)\left(a-1\right)}\right)\)
\(P=\frac{a-1}{a-\sqrt{a}}:\frac{a\left(a-1\right)+\sqrt{a}\left(a-1\right)}{\left(a-1\right)\left(a-\sqrt{a}\right)}\)
\(P=\frac{a-1}{a-\sqrt{a}}:\frac{\left(a-1\right)\left(a+\sqrt{a}\right)}{\left(a-1\right)\left(a-\sqrt{a}\right)}\)
\(P=\frac{a-1}{a-\sqrt{a}}:\frac{a+\sqrt{a}}{a-\sqrt{a}}\)
\(P=\frac{a-1}{a-\sqrt{a}}\times\frac{a-\sqrt{a}}{a+\sqrt{a}}\)
\(P=\frac{a-1}{a+\sqrt{a}}\)
\(\frac{2-x}{4}=\frac{3x-1}{-3}\)
\(3\left(2-x\right)=-4\left(3x-1\right)\)
\(6-3x=-12x+4\)
\(6-3x+12x=4\)
\(6-9x=4\)
\(9x=4-6\)
\(9x=-2\)
\(x=-\frac{2}{9}\)
\(1,2\div0,8=\left(-3,6\right)\div\left(3x\right)\)
\(1,5=\left(-3,6\right)\div3x\)
\(3x=\left(-3,6\right):1,5\)
\(3x=-2,4\)
\(x=-0,8\)
\(\frac{1}{y\left(x-y\right)}-\frac{1}{x\left(x-y\right)}=\frac{x-y}{y\left(x-2\right)x}=\frac{1}{yx}\)
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_Minh ngụy_
\(A=\frac{1}{1-\sqrt{a}}+\frac{a\sqrt{a}}{\sqrt{a}-1}\left(\text{ĐKXĐ: a}\ne1\right)\)
\(A=\frac{-1}{-\left(1-\sqrt{a}\right)}+\frac{\left(\sqrt{a}\right)^2.\sqrt{a}}{\sqrt{a}-1}\)
\(A=\frac{-1}{\sqrt{a}-1}+\frac{\sqrt{a}^3}{\sqrt{a}-1}\)
\(A=\frac{-1+\sqrt{a}^3}{\sqrt{a}-1}\)
\(A=\frac{\sqrt{a}^3-1}{\sqrt{a}-1}\)
\(A=\frac{\left(\sqrt{a}-1\right)\left(a+\sqrt{a}+1\right)}{\sqrt{a}-1}\)
\(A=a+\sqrt{a}+1\)
Câu a:
x/3 + 1/5 = 3/4
=> x/3 = 3/4 - 1/5
=> x/3 = 11/20.
=> x= 11/7
a)\(\frac{x}{3}+\frac{1}{5}=\frac{3}{4}\)
\(\frac{x}{3}=\frac{3}{4}-\frac{1}{5}\)
\(\frac{x}{3}=\frac{15}{20}-\frac{4}{20}\)
\(\frac{x}{3}=\frac{11}{20}\)
\(x:3=\frac{11}{20}\)
\(x=\frac{11}{20}.3\)
\(x=\frac{11}{20}\cdot\frac{3}{1}\)
\(x=\frac{33}{20}\)
\(x=1,65\)